Due to their isolated location, the woman's partner had left her in the car to run up a hill to obtain cellphone reception, he said.
A local farmer then opened a series of gates on his property to allow the couple to drive around the blocked road, and they drove through the farmland to meet emergency services, Mr Bromley said.
By the time they reached the waiting ambulance, the baby girl had been born.
"The winds were blowing and it was raining and yeah, it was pretty horrible.
"When she arrived on the other side, down through the farm by the gate, she had given birth," he said.
"The ambulance lady hopped in the vehicle with the mum in the back seat...checked out the bub and the mum and we put blankets over them both and I think she cut the cord ... I was sitting in the front, giving them some dignity."
Mr Bromley said he then drove the new mother, baby girl and paramedic to the Thames Birthing Unit in the couple's car, with another firefighter taking the wheel of the ambulance.
He said he spoke to the new parents who were "just happy that we were there".
However, the unconventional birth didn't spell the end of the night for the Thames Volunteer Fire Service, which responded to another six calls this morning, including downed trees, powerlines, a gas leak and a roof which was lifted off a house by the wild winds, Mr Bromley said.
"The crew were pretty excited [they were] going to something very positive. Given [we attend] negative stuff all the time where people are getting injured.
"Instead of going to people's misfortunes - it's come to a very good and lucky outcome."